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Non-Markovian Reaction-Transport: Modelling Biological Invasions

Presented by: 
V Mendez Universitat Autònoma de Barcelona
Date: 
Thursday 20th August 2015 - 11:00 to 12:00
Venue: 
INI Seminar Room 2
Abstract: 
A common key feature of many biological invasions is the existence of rest phases during which individuals reproduce. Since this process alternates with phases of movement it is necessary to make use of a general description where both processes are coupled, i.e., cannot occur separately. However, some recent studies propose reaction-diffusion equations that lead to behaviours that cannot be physically accepted. In this talk I will show the reasons why these equations cannot be used and will present mesoscopic models adequate for biological invasions modelling.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons